TSTP Solution File: SEV371^5 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SEV371^5 : TPTP v6.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n100.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.20.3.el6.x86_64
% CPULimit : 300s
% DateTime : Thu Jul 17 13:34:06 EDT 2014
% Result : Timeout 300.11s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : SEV371^5 : TPTP v6.1.0. Released v4.0.0.
% % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n100.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.20.3.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jul 17 08:58:41 CDT 2014
% % CPUTime : 300.11
% Python 2.7.5
% Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% FOF formula (<kernel.Constant object at 0x2074ef0>, <kernel.DependentProduct object at 0x237d050>) of role type named cGVB_OP
% Using role type
% Declaring cGVB_OP:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0x237acf8>, <kernel.DependentProduct object at 0x239dc20>) of role type named cGVB_SECOND
% Using role type
% Declaring cGVB_SECOND:(fofType->fofType)
% FOF formula (<kernel.Constant object at 0x2074050>, <kernel.DependentProduct object at 0x239d8c0>) of role type named cGVB_M
% Using role type
% Declaring cGVB_M:(fofType->Prop)
% FOF formula (forall (Xa:fofType) (Xb:fofType), (((and (cGVB_M Xa)) (cGVB_M Xb))->(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) Xb))) of role conjecture named cGVB_SND_PROP_1
% Conjecture to prove = (forall (Xa:fofType) (Xb:fofType), (((and (cGVB_M Xa)) (cGVB_M Xb))->(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) Xb))):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['(forall (Xa:fofType) (Xb:fofType), (((and (cGVB_M Xa)) (cGVB_M Xb))->(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) Xb)))']
% Parameter fofType:Type.
% Parameter cGVB_OP:(fofType->(fofType->fofType)).
% Parameter cGVB_SECOND:(fofType->fofType).
% Parameter cGVB_M:(fofType->Prop).
% Trying to prove (forall (Xa:fofType) (Xb:fofType), (((and (cGVB_M Xa)) (cGVB_M Xb))->(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) Xb)))
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x0:(P (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Instantiate: b:=(cGVB_SECOND ((cGVB_OP Xa) Xb)):fofType
% Found x0 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x2:(P (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Instantiate: b:=(cGVB_SECOND ((cGVB_OP Xa) Xb)):fofType
% Found x2 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x0:(P Xb)
% Instantiate: b:=Xb:fofType
% Found x0 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x2:(P Xb)
% Instantiate: b:=Xb:fofType
% Found x2 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x00:(P b)
% Found (fun (x00:(P b))=> x00) as proof of (P b)
% Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% Found x2:(P Xb)
% Instantiate: b:=Xb:fofType
% Found x2 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x00:(P Xb)
% Found (fun (x00:(P Xb))=> x00) as proof of (P Xb)
% Found (fun (x00:(P Xb))=> x00) as proof of (P0 Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found x00:(P Xb)
% Found (fun (x00:(P Xb))=> x00) as proof of (P Xb)
% Found (fun (x00:(P Xb))=> x00) as proof of (P0 Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x20:(P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P0 Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found x0:(P Xb)
% Instantiate: b:=Xb:fofType
% Found x0 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found x20:(P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P0 Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x20:(P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P0 Xb)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found x20:(P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P0 Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x0:(P (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Instantiate: b:=(cGVB_SECOND ((cGVB_OP Xa) Xb)):fofType
% Found x0 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x2:(P (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Instantiate: b:=(cGVB_SECOND ((cGVB_OP Xa) Xb)):fofType
% Found x2 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x0:(P Xb)
% Instantiate: b:=Xb:fofType
% Found x0 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x0:(P (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Instantiate: a:=(cGVB_SECOND ((cGVB_OP Xa) Xb)):fofType
% Found x0 as proof of (P0 a)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x0:(P1 Xb)
% Instantiate: b:=Xb:fofType
% Found x0 as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found x2:(P Xb)
% Instantiate: b:=Xb:fofType
% Found x2 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x00:(P b)
% Found (fun (x00:(P b))=> x00) as proof of (P b)
% Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% Found x00:(P b)
% Found (fun (x00:(P b))=> x00) as proof of (P b)
% Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x2:(P (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Instantiate: a:=(cGVB_SECOND ((cGVB_OP Xa) Xb)):fofType
% Found x2 as proof of (P0 a)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xb)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found x10:(P1 Xb)
% Found (fun (x10:(P1 Xb))=> x10) as proof of (P1 Xb)
% Found (fun (x10:(P1 Xb))=> x10) as proof of (P2 Xb)
% Found x2:(P Xb)
% Instantiate: b:=Xb:fofType
% Found x2 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found x0:(P b)
% Instantiate: b0:=b:fofType
% Found x0 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x0:(P Xb)
% Instantiate: b:=Xb:fofType
% Found x0 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x00:(P Xb)
% Found (fun (x00:(P Xb))=> x00) as proof of (P Xb)
% Found (fun (x00:(P Xb))=> x00) as proof of (P0 Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x00:(P Xb)
% Found (fun (x00:(P Xb))=> x00) as proof of (P Xb)
% Found (fun (x00:(P Xb))=> x00) as proof of (P0 Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x0:(P Xb)
% Instantiate: a:=Xb:fofType
% Found x0 as proof of (P0 a)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found x2:(P1 Xb)
% Instantiate: b:=Xb:fofType
% Found x2 as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x00:(P1 b)
% Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x00:(P b)
% Found (fun (x00:(P b))=> x00) as proof of (P b)
% Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% Found x00:(P b)
% Found (fun (x00:(P b))=> x00) as proof of (P b)
% Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found x2:(P b)
% Instantiate: b0:=b:fofType
% Found x2 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x0:(P0 b0)
% Instantiate: b0:=(cGVB_SECOND ((cGVB_OP Xa) Xb)):fofType
% Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% Found x2:(P1 Xb)
% Instantiate: b:=Xb:fofType
% Found x2 as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x0:(P0 b0)
% Instantiate: b0:=(cGVB_SECOND ((cGVB_OP Xa) Xb)):fofType
% Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% Found x30:(P1 Xb)
% Found (fun (x30:(P1 Xb))=> x30) as proof of (P1 Xb)
% Found (fun (x30:(P1 Xb))=> x30) as proof of (P2 Xb)
% Found x2:(P Xb)
% Instantiate: b:=Xb:fofType
% Found x2 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x0:(P Xb)
% Instantiate: b0:=Xb:fofType
% Found x0 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x0:(P Xb)
% Instantiate: b0:=Xb:fofType
% Found x0 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x00:(P1 Xb)
% Found (fun (x00:(P1 Xb))=> x00) as proof of (P1 Xb)
% Found (fun (x00:(P1 Xb))=> x00) as proof of (P2 Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found x2:(P Xb)
% Instantiate: a:=Xb:fofType
% Found x2 as proof of (P0 a)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found x20:(P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P0 Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x20:(P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P0 Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found x2:(P Xb)
% Instantiate: b:=Xb:fofType
% Found x2 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found x2:(P b)
% Instantiate: b0:=b:fofType
% Found x2 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found x0:(P b)
% Found x0 as proof of (P0 (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x0:(P Xb)
% Instantiate: b:=Xb:fofType
% Found x0 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found x0:(P Xb)
% Instantiate: b:=Xb:fofType
% Found x0 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found x2:(P Xb)
% Instantiate: a:=Xb:fofType
% Found x2 as proof of (P0 a)
% Found x30:(P1 Xb)
% Found (fun (x30:(P1 Xb))=> x30) as proof of (P1 Xb)
% Found (fun (x30:(P1 Xb))=> x30) as proof of (P2 Xb)
% Found x20:(P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P0 Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found x20:(P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P0 Xb)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x20:(P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P2 b)
% Found x00:(P1 b)
% Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% Found x00:(P1 Xb)
% Found (fun (x00:(P1 Xb))=> x00) as proof of (P1 Xb)
% Found (fun (x00:(P1 Xb))=> x00) as proof of (P2 Xb)
% Found x00:(P1 Xb)
% Found (fun (x00:(P1 Xb))=> x00) as proof of (P1 Xb)
% Found (fun (x00:(P1 Xb))=> x00) as proof of (P2 Xb)
% Found x2:(P b)
% Found x2 as proof of (P0 (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found x00:(P0 b)
% Found (fun (x00:(P0 b))=> x00) as proof of (P0 b)
% Found (fun (x00:(P0 b))=> x00) as proof of (P1 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found x00:(P0 b)
% Found (fun (x00:(P0 b))=> x00) as proof of (P0 b)
% Found (fun (x00:(P0 b))=> x00) as proof of (P1 b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x2:(P0 b0)
% Instantiate: b0:=(cGVB_SECOND ((cGVB_OP Xa) Xb)):fofType
% Found (fun (x2:(P0 b0))=> x2) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% Found x0:(P b)
% Instantiate: b0:=b:fofType
% Found x0 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x20:(P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P0 Xb)
% Found x20:(P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P0 Xb)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x0:(P0 b0)
% Instantiate: b0:=Xb:fofType
% Found (fun (x0:(P0 b0))=> x0) as proof of (P0 Xb)
% Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 Xb))
% Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x0:(P0 b)
% Instantiate: b0:=b:fofType
% Found (fun (x0:(P0 b))=> x0) as proof of (P0 b0)
% Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 b0))
% Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x20:(P1 Xb)
% Found (fun (x20:(P1 Xb))=> x20) as proof of (P1 Xb)
% Found (fun (x20:(P1 Xb))=> x20) as proof of (P2 Xb)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x2:(P Xb)
% Instantiate: b0:=Xb:fofType
% Found x2 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x2:(P b)
% Instantiate: b0:=b:fofType
% Found x2 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found x20:(P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found x2:(P b)
% Found x2 as proof of (P0 Xb)
% Found x2:(P b)
% Found x2 as proof of (P0 (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x2:(P0 b0)
% Instantiate: b0:=(cGVB_SECOND ((cGVB_OP Xa) Xb)):fofType
% Found (fun (x2:(P0 b0))=> x2) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% Found x00:(P Xb)
% Found (fun (x00:(P Xb))=> x00) as proof of (P Xb)
% Found (fun (x00:(P Xb))=> x00) as proof of (P0 Xb)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x2:(P0 b0)
% Instantiate: b0:=(cGVB_SECOND ((cGVB_OP Xa) Xb)):fofType
% Found (fun (x2:(P0 b0))=> x2) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x20:(P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P0 Xb)
% Found x2:(P Xb)
% Instantiate: b0:=Xb:fofType
% Found x2 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x0:(P1 Xb)
% Instantiate: b:=Xb:fofType
% Found x0 as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b)
% Found x00:(P Xb)
% Found (fun (x00:(P Xb))=> x00) as proof of (P Xb)
% Found (fun (x00:(P Xb))=> x00) as proof of (P0 Xb)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found x2:(P Xb)
% Instantiate: b0:=Xb:fofType
% Found x2 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found x00:(P b0)
% Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x0:(P Xb)
% Found x0 as proof of (P0 Xb)
% Found x20:(P1 Xb)
% Found (fun (x20:(P1 Xb))=> x20) as proof of (P1 Xb)
% Found (fun (x20:(P1 Xb))=> x20) as proof of (P2 Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x2:(P0 b0)
% Instantiate: b0:=(cGVB_SECOND ((cGVB_OP Xa) Xb)):fofType
% Found (fun (x2:(P0 b0))=> x2) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x2:(P0 b0)
% Instantiate: b0:=(cGVB_SECOND ((cGVB_OP Xa) Xb)):fofType
% Found (fun (x2:(P0 b0))=> x2) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found x2:(P Xb)
% Instantiate: b0:=Xb:fofType
% Found x2 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x2:(P Xb)
% Instantiate: b0:=Xb:fofType
% Found x2 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b00)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b00)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b00)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b00)
% Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found x0:(P0 (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (fun (x0:(P0 (cGVB_SECOND ((cGVB_OP Xa) Xb))))=> x0) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x0:(P0 (cGVB_SECOND ((cGVB_OP Xa) Xb))))=> x0) as proof of ((P0 (cGVB_SECOND ((cGVB_OP Xa) Xb)))->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x0:(P0 (cGVB_SECOND ((cGVB_OP Xa) Xb))))=> x0) as proof of (P (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found x20:(P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P1 b)
% Found x20:(P1 Xb)
% Found (fun (x20:(P1 Xb))=> x20) as proof of (P1 Xb)
% Found (fun (x20:(P1 Xb))=> x20) as proof of (P2 Xb)
% Found x20:(P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P2 b)
% Found x20:(P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x20:(P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P1 b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b1)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b1)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b1)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b1)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x2:(P (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Instantiate: b0:=(cGVB_SECOND ((cGVB_OP Xa) Xb)):fofType
% Found x2 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x20:(P b0)
% Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b1)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b1)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b1)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) Xb)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xb)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xb)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xb)
% Found x20:(P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P1 b)
% Found x00:(P b0)
% Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found x2:(P0 b0)
% Instantiate: b0:=Xb:fofType
% Found (fun (x2:(P0 b0))=> x2) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x20:(P1 Xb)
% Found (fun (x20:(P1 Xb))=> x20) as proof of (P1 Xb)
% Found (fun (x20:(P1 Xb))=> x20) as proof of (P2 Xb)
% Found x20:(P1 Xb)
% Found (fun (x20:(P1 Xb))=> x20) as proof of (P1 Xb)
% Found (fun (x20:(P1 Xb))=> x20) as proof of (P2 Xb)
% Found x20:(P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P1 b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) b))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) b))) (cGVB_SECOND ((cGVB_OP Xa) b)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) b))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) b))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) b))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) b))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) b))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) b))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) b))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) b))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x20:(P1 Xb)
% Found (fun (x20:(P1 Xb))=> x20) as proof of (P1 Xb)
% Found (fun (x20:(P1 Xb))=> x20) as proof of (P2 Xb)
% Found x2:(P b)
% Instantiate: b0:=b:fofType
% Found x2 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) b))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) b))) (cGVB_SECOND ((cGVB_OP Xa) b)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) b))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) b))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) b))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) b))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) b))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) b))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) b))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) b))) b0)
% Found x20:(P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P0 Xb)
% Found x2:(P Xb)
% Found x2 as proof of (P0 Xb)
% Found x20:(P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P1 b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x2:(P0 b0)
% Instantiate: b0:=Xb:fofType
% Found (fun (x2:(P0 b0))=> x2) as proof of (P0 Xb)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 Xb))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x2:(P0 b)
% Instantiate: b0:=b:fofType
% Found (fun (x2:(P0 b))=> x2) as proof of (P0 b0)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 b0))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b))=> x2) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found x20:(P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P1 b)
% Found x20:(P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P0 Xb)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b1)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b1)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b1)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) Xb)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xb)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xb)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xb)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found x20:(P b0)
% Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x00:(P b)
% Found (fun (x00:(P b))=> x00) as proof of (P b)
% Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x00:(P b0)
% Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% Found x20:(P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P Xb)
% Found (fun (x20:(P Xb))=> x20) as proof of (P0 Xb)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found x2:(P0 (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (fun (x2:(P0 (cGVB_SECOND ((cGVB_OP Xa) Xb))))=> x2) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 (cGVB_SECOND ((cGVB_OP Xa) Xb))))=> x2) as proof of ((P0 (cGVB_SECOND ((cGVB_OP Xa) Xb)))->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 (cGVB_SECOND ((cGVB_OP Xa) Xb))))=> x2) as proof of (P (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x2:(P0 Xb)
% Found (fun (x2:(P0 Xb))=> x2) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 Xb))=> x2) as proof of ((P0 Xb)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 Xb))=> x2) as proof of (P Xb)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b1)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b1)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b1)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) Xb)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xb)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xb)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xb)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x20:(P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P2 b)
% Found x20:(P1 Xb)
% Found (fun (x20:(P1 Xb))=> x20) as proof of (P1 Xb)
% Found (fun (x20:(P1 Xb))=> x20) as proof of (P2 Xb)
% Found x20:(P1 Xb)
% Found (fun (x20:(P1 Xb))=> x20) as proof of (P1 Xb)
% Found (fun (x20:(P1 Xb))=> x20) as proof of (P2 Xb)
% Found x2:(P b)
% Instantiate: b0:=b:fofType
% Found x2 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b1)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b1)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b1)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% Found x2:(P0 b0)
% Instantiate: b0:=Xb:fofType
% Found (fun (x2:(P0 b0))=> x2) as proof of (P0 Xb)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 Xb))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found x2:(P0 b)
% Instantiate: b0:=b:fofType
% Found (fun (x2:(P0 b))=> x2) as proof of (P0 b0)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 b0))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b))=> x2) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xb)
% Found eq_ref00:=(eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_SECOND ((cGVB_OP Xa) Xb))) b0)
% Found x2:(P0 (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found (fun (x2:(P0 (cGVB_SECOND ((cGVB_OP Xa) Xb))))=> x2) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 (cGVB_SECOND ((cGVB_OP Xa) Xb))))=> x2) as proof of ((P0 (cGVB_SECOND ((cGVB_OP Xa) Xb)))->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 (cGVB_SECOND ((cGVB_OP Xa) Xb))))=> x2) as proof of (P (cGVB_SECOND ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xb):(((eq fofType) Xb) Xb)
% Found (eq_ref0 Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found ((eq_ref fofType) Xb) as proof of (((eq fofType) Xb) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType
% EOF
%------------------------------------------------------------------------------